Description 
1 online resource (xi, 239 pages) : illustrations 
Contents 
Vectors and Tensors in a FiniteDimensional Space  Vector and Tensor Analysis in Euclidean Space  Curves and Surfaces in ThreeDimensional Euclidean Space  Eigenvalue Problem and Spectral Decomposition of SecondOrder Tensors  FourthOrder Tensors  Analysis of Tensor Functions  Analytic Tensor Functions  Applications to Continuum Mechanics 
Summary 
There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book is addressed primarily to engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling an autonomous study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhDstudents and scientists working in this area 
Bibliography 
Includes bibliographical references (pages 231233) and index 
Notes 
Print version record 
Subject 
Tensor algebra.


Calculus of tensors.

Form 
Electronic book

LC no. 
2007920572 
ISBN 
3540360468 (cloth) 

3540360476 

9783540360469 (cloth) 

9783540360476 
